Answer: = 62.8 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The total wattage in hours used was;
= 7,043 * 9 hours
= 63,387 watts
In kilowatts;
= 63,387/1000
= 63.387 kilowatts
CO2 produced;
= 63.387 * 0.99
= 62.75313
= 62.8 pounds of CO2
What is the answer to -7(-6)
Answer:
42
Step-by-step explanation:
Hope this helps and have a great day! :)
Answer: -7(-6) is 42
hope this helps :)
Step-by-step explanation:
when You multiply two negative numbers, the answer is positive.
A recipe uses 8 ounces of cocoa mix to make hot chocolate for 7 people what is the unit rate in ounces per person
Answer:
1.14285714286 ounces per person
Step-by-step explaination:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
following this rule, 8 divided by 7 is 1.14285714286
Your assignment will probably ask you to simplify
Evaluate the double integral.
∫∫8y2dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)
Answer:
[tex]\iint_D 8y^2 \ dA = \dfrac{88}{3}[/tex]
Step-by-step explanation:
The equation of the line through the point [tex](x_o,y_o)[/tex] & [tex](x_1,y_1)[/tex] can be represented by:
[tex]y-y_o = m(x - x_o)[/tex]
Making m the subject;
[tex]m = \dfrac{y_1 - y_0}{x_1-x_0}[/tex]
∴
we need to carry out the equation of the line through (0,1) and (1,2)
i.e
y - 1 = m(x - 0)
y - 1 = mx
where;
[tex]m= \dfrac{2-1}{1-0}[/tex]
m = 1
Thus;
y - 1 = (1)x
y - 1 = x ---- (1)
The equation of the line through (1,2) & (4,1) is:
y -2 = m (x - 1)
where;
[tex]m = \dfrac{1-2}{4-1}[/tex]
[tex]m = \dfrac{-1}{3}[/tex]
∴
[tex]y-2 = -\dfrac{1}{3}(x-1)[/tex]
-3(y-2) = x - 1
-3y + 6 = x - 1
x = -3y + 7
Thus: for equation of two lines
x = y - 1
x = -3y + 7
i.e.
y - 1 = -3y + 7
y + 3y = 1 + 7
4y = 8
y = 2
Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7
∴
[tex]\iint_D 8y^2 \ dA = \int^2_1 \int ^{-3y+7}_{y-1} \ 8y^2 \ dxdy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \int ^{-3y+7}_{y-1} \ y^2 \ dxdy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( \int^{-3y+7}_{y-1} \ dx \bigg) dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [xy^2]^{-3y+7}_{y-1} \bigg ) \ dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [y^2(-3y+7-y+1)]\bigg ) \ dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ([y^2(-4y+8)] \bigg ) \ dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( -4y^3+8y^2 \bigg ) \ dy[/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [\dfrac{ -4y^4}{4}+\dfrac{8y^3}{3} \bigg ]^2_1[/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -y^4+\dfrac{8y^3}{3} \bigg ]^2_1[/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -2^4+\dfrac{8(2)^3}{3} + 1^4- \dfrac{8\times (1)^3}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -16+\dfrac{64}{3} + 1- \dfrac{8}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{64-8}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{56}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ \dfrac{-45+56}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA =8 \bigg [ \dfrac{11}{3}\bigg][/tex]
[tex]\iint_D 8y^2 \ dA = \dfrac{88}{3}[/tex]
The drama club is selling tickets for a play. The profit, y, is
modeled by the equation, y = x2 – 40x – 3,200, where x is
the number of tickets sold. What is the total number of
tickets, x, that need to be sold for the drama club to break
even (profit = $0)?
Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages.
You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages.
You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision.
x1 = Runs Score/Times at Bat
x2 = Doubles/Times at Bat
x3 = Triples/Times at Bat
x4 = Home Runs/Times at Bat
x5= Strike Outs/Times at Bat
Interpret the slope(s) of the significant predictors for Batting Average (if there are any).
See Attached Excel for Data.
Baseball data.xlsx
Doubles/Times at Bat Triples/times at bat HR/Times at Bat SO/Times at Bat
0.049 0.012 0.013 0.086
0.039 0.013 0.002 0.062
0.045 0.021 0.013 0.074
0.043 0.001 0.03 0.032
0.044 0.011 0.07 0.076
0.047 0.018 0.05 0.007
0.036 0.008 0.012 0.095
0.03 0.006 0.003 0.145
0.05 0.008 0.061 0.112
0.041 0.005 0.014 0.124
0.047 0.012 0.009 0.111
0.058 0.01 0.011 0.07
0.041 0.009 0.005 0.065
0.037 0.003 0.004 0.138
0.058 0.014 0.011 0.032
0.05 0.012 0.05 0.06
0.04 0.008 0.049 0.233
0.038 0.013 0.003 0.068
0.06 0.016 0.085 0.158
0.066 0.021 0.037 0.083
0.051 0.02 0.012 0.04
0.052 0.008 0.054 0.095
0.037 0.003 0.043 0.135
0.063 0.026 0.01 0.031
0.054 0.027 0.01 0.048
0.025 0.006 0 0.061
0.044 0.003 0.022 0.151
0.063 0.02 0.037 0.081
0.045 0.008 0 0.252
0.053 0.017 0.013 0.07
0.041 0.007 0.051 0.264
0.057 0.03 0.017 0.058
0.029 0.007 0.011 0.188
0.034 0.019 0.005 0.014
0.038 0.006 0.015 0.142
0.068 0.016 0.022 0.092
0.042 0.009 0.066 0.211
0.052 0.008 0.054 0.095
0.049 0.007 0.038 0.101
0.044 0.007 0.002 0.205
0.037 0.003 0.004 0.138
0.061 0.002 0.012 0.147
0.049 0.012 0.021 0.13
0.026 0.011 0.002 0
0.053 0.005 0.039 0.115
Question 4 options:
There are no significant predictors.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .109/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .313/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .052/Times at Bat.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .225/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .358/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .389/Times at Bat.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .447/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .991/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .285/Times at Bat.
Desmond bought 7 1/2 pints of ice cream for his party. He is going to serve each guest 3/4 pint
Answer:
10 guests
Step-by-step explanation:
Step one:
Desmond bought 7 1/2 pints of ice cream
each guest gets a 3/4 pint
Required
The number of guests that Desmond can serve
Step two:
let us convert 7 1/2 to a simple fraction
= 15/2
The number of guests to be served is
=15/2/3/4
multiply the numerator by the inverse of the denominator
=15/2*4/3
=60/6
=10 guests
A jewelry box contains 13 gold earrings, 10 silver earrings and 12 titanium
earrings. Two earrings are drawn at random with replacement. Find the
probability that they are made of different materials.
Answer:
The probability is 406/625
Step-by-step explanation:
If they are of different materials, we have the following combinations of selection;
(gold and silver) or ( silver and titanium) or (gold and titanium )
The number of earrings present is 13 + 10 + 12 = 25
Probability of selecting a gold earring is 13/25
Probability of a silver is 10/25
Probability of a titanium is 12/25
Substituting these into the probabilities, we have;
(13/25 * 10/25) + (10/25 * 12/25) + (13/25 * 12/25)
= 130/625 + 120/625 + 156/625 = 406/625
tarting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of
feet.
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is
feet.
Answer:
Calloway Peak is 6,464 Feet. And Flat Rock is 4061.5 Feet
Step-by-step explanation:
For Calloway Peak Started at 0 so 4646.4+1817.6=6,464
Zen then descends which means he walked back down 2402.5 feet.
To find Flat Rock you subtract the height of Calloway Peak by 2402.5 the amount that he walked back down to get how tall Flat Rock is in Feet
6464-2402.5=4061.5 Feet
So Flat Rock is 4061.5 Feet tall.
|There is 1/2 of a liter of soda left after a class party. The 3 students on the clean-up crew are going
to split the soda equally. How many liters of soda does each student get?
Answer:
Each student will get 1/6 liters of soda.
Step-by-step explanation:
In order to do this, we need to divide 1/2 by 3.
All we had to do is multiply 2 by 3.
1/6 is smaller than 1/2, and because 6 is 2 x 3, it's 3 times smaller, or less.
Therefore, each student will get 1/6 liters of soda.
Hope this helps! :D
Coach Crowell won 80% of the games he pitched. If he pitched 35 games, how many did he win?
Answer:
28
Step-by-step explanation:
Multiply 35 by .8
Answer:
If he pitched 35 games then he will win 28 of his games.
Step-by-step explanation:
You take 35 and multiply it by the percentage. But first make the percentage a decimal by moving the decimal two places to the right making it .8
Then you multiply and you have your answer!
What is the measure of eg?
Hi I rlly could use some help with this! I'm not the best at math and I'm rlly struggling with this assignment its a couple questions long! I will give brainiest and 10 given points!
Info:In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
1.The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.
2.The equation you wrote in part A accounts for money collected. However, it does not account for the money the baseball team spent to set up the car wash. What do you need to do to the equation in part A to account for the setup cost?
3.Now that you have an idea of how much money the baseball team will collect and how much it will spend, you’re ready to write an equation modeling the situation. Write an equation representing the profit made on the car wash in dollars, y, in terms of the number of cars washed, x, after expenses.
4.You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents this value? What does the y-value of this point mean in terms of the problem?
5.The baseball team will break even when the amount of money it has received equals the amount of money it spent. In other words, the team breaks even when the profit is equal to zero. How many cars does the baseball team have to wash to break even? What point represents this value? What does the x-value of this point mean in terms of the problem?
Pls help!!!
1. Let y represent the amount of money earned, and x the number of cars they wash. Then
y = 5x
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
y = 5x - 75
4. When x = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for x :
5x - 75 = 0
5x = 75
x = 75/5
x = 15
So the team has to wash at least 15 cars to break even.
Answer:
The setup cost is $75. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A.
Step-by-step explanation:
evaluate the following given f(x)=3x-7 find x when f(x)=17
Answer:
When f(x) equals 17, x is equal to 8.
Step-by-step explanation:
[tex]f(x) = 3x - 7\\17 = 3x - 7\\3x = 17 + 7\\3x = 24\\x = 24/3\\x = 8[/tex]
If f(x) =|3x + 2, what is f(-1)
partial quotient for 654 divided by 3
654 over 3 = divide the both 654 and 3 by 3.
It will give you 218 over 1.
So the answer is 218.
Suppose that y varies directly with x, and y = 10 when x = 25.
(a) Write a direct variation equation that relates x and y.
Equation:
(b) Find y when x = 6.
y =
Answer:
Equation: y = 0.4x
y = 2.4
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant
Plug in x and y:
y = kx
10 = k(25)
Solve for k:
0.4 = k
So, the equation is y = 0.4x
Then, use this equation to find y when x = 6:
y = 0.4x
y = 0.4(6)
y = 2.4
A direct proportion is a proportion such that the ratio between both variables remains constant thus the given proportion will be y = 04x and the value of y at x = 6 will be 2.4.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
a)
Let's say the direct proportion as,
y = kx
Given that y = 10 when x = 25.
10 = k(25)
Solve for k,
0.4 = k
Therefore, the equation will be y = 0.4x
y = 0.4x
b)
The value of y when x = 6
y = 0.4(6)
y = 2.4
For more information about ratios and proportions,
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Solve for x: −3x + 3 −1
x −3
please give answer please!!!!!!!!!!!!
All of them produce an angle of 90 degrees, therefore
90 degrees x 4 = 360 degrees
5
2
A line passes through the point (-10, 8) and has a slope of
Answer:
you need more than one point to find the slope of a line?
Step-by-step explanation:
What number does E represent?
SOMEONE PLEASE HELP MEEEEE!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?
A.
117
B.
433
C.
550
D.
883
Answer:
total population of school = 1000
1000 - 450 males = 550 female students
550 - 200 females not in extra curriculars = 350 females in extra curriculars
350 + 90 males in extra curriculars = 440 total in extra curriculars
Circle A = 440
Circle B - overlap = 200 females not in extra curriculars
440 + 200 = 640
1000 - 640 = 370 students represented by the portion of the Venn diagram not in either circle
Step-by-step explanation:
Answer:
Its a
Step-by-step explanation:
50 Points!!!!
In the following triangle BD is a median.
Find x and the measure of CD.
Answer:x=24
CD= just 7
Step-by-step explanation:
Three apples (x) plus two
oranges (y) costs $16.
Five apples plus two
oranges costs $24. Hov
muon do each apples and
oranges cost?
Solve (x + 3)2 - 5 = 0 using the quadratic formula.
A) x= 3 + 15 , x= 3 - 15
OB) x= 3
C) x= -3
ODx= -3 + 15x= -3 - 15
Answer:
x=−3±√5
Decimal Form:
x=−0.76393202…,−5.23606797
So D would be your answer
Step-by-step explanation:
Assume that last year in a particular state with 700000 children there were 1205 children out of 32600 in a random sample who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. Is there sufficient data to show that the incident rate of ASD is higher in that state than nationally
Answer:
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
Step-by-step explanation:
The population follows a binomial distribution, and the fact that
p₀ = 1205/32600 = 0,03696 and then q₀ = 1-0,03696 = 0,9630
And both
p₀*n = 0,03696*32600 = 1205 > 10
q₀*n = 31395 > 10
The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.
Therefore:
Hypothesis Test H₀ ⇒ p₀ = p
Alternative Hypothesis Hₐ ⇒ p₀ > p
p is the population proportion mean
p = 1/88 = 0,011
We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %
CI = 95 % α = 5 % α = 0,05
Critical value for 0,05 is from z-table z(c) = 1,64
We compute z(s)
z(s) =( p₀ - p )/ √ p₀*q₀/n
z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600
z(s) = 0,02596* 180,55/ √ 0,0356
z(s) = 4,687 / 0,189
z(s) = 24,9
Comparing z(s) and z(c) 24,9 > 1, 64
z(s) is out of the acceptance region and we have to reject H₀
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
It costs $6 to buy 3 bags of chips. How much do 24 bags of chips cost?
Answer:
$48
Step-by-step explanation:
24/3 = 8
8 x 6 = $48
Answer:
48
Step-by-step explanation:
because butterfly method 6 time 24 =144 and didved 144 by 3 which gives you 48
Which of the following is true? (1 point)
Question 19 options:
1)
|–8| < 6
2)
|–6| < |–8|
3)
|8| < |–6|
4)
|–6| < –8
PLS GOD HELP ME
if any of you can help me AND get the right answer i will give you brainleist!
Answer:
7(1+2)
Step-by-step explanation:
So find the Greatest common factor first which is7 in this case
now we divide each number by 7
1+2 now
now we put that around parthesis and multiply it by 7
7(1+2)
Thats how you factpr
Check:
using distributive property
7+14, same answer.
Answer:
7(1+2)
Step-by-step explanation:
Find the factors of each number
7 has factors of 1,7
14 has factors of 1,2,7,14
The greatest common factor is 7
7*1 + 2*7
Factor out the 7
7(1+2)
what is the answer please
Answer:
X=20
Step-by-step explanation:
I think
If 3 quarts of paint are needed for 50 ft of fence, how many quarts are needed for 300 ft of fence?
at
Answer:
18
Step-by-step explanation:
First, you would do a proportion
[tex]\frac{3}{50}[/tex]=[tex]\frac{x}{300}[/tex]
Then you would cross multiply, getting 50x=900.
After that, you would do 900/50, which is 18.
To paint 300 feet of fence we need 18 quarts of paint.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, 3 quarts of paint are needed for 50ft of fence.
∴ To paint 1 foot of fence (3/50) quarts of paint are needed.
∴ To paint 300 feet of fence (3/50)×300 = 18 quarts of paint needed.
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